# Thermal Physics

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• Created by: cmidona
• Created on: 17-12-13 18:52
First Law of Thermodynamics
ΔU=Q+W
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Linear expansion of solids
ΔL/L = αT
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Volume expansion of solids
ΔV/V = βT
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Fouriers heat convection law
dQ/dt = -kA (T1 - T2)/Δx
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Conduction between concentric cyclinder
dQ/dt = 2πkL (T1-T2)/ln(r1-r2)
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P = σεAT^4
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Particle velocity in Ideal gas
v-rms=sqrt(3kT/m)
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Internal energy for an ideal monatomic gas
U=N 1/2 mv^2
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The equipartition theorem
U=f/2 NkT
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Typical mean free path
λ = (sqrt(2)(N/V)πd^2)^-1
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dU = -PdV
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Heat capacity
C=(ΔU-W)/ΔT
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Heat capacity with constant volume
Cv = dU/dT
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Heat capacity with constant pressure
Cp = dU/dT + P(dV/dT)
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Heat capacity of an ideal gas constant volume
Cv = f/2 Nk
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Heat capacity of an ideal gas constant pressure
Cp = Nk(1+f/2)
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Latent Heat
L = Q/m
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TfVf^2/f = TiVi^2/f
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Multiplicity and Entropy
S = klnW
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Thermodynamic Identity
dU = TdS - PdV
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Reversible process
dQ = TdS
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Efficiency
ε = -Wcycle/Qhot
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Entropy changes in Carnot cycle
Qhot/Thot = Qcold/Tcold
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Efficiency in a Carnot cycle
ε = 1 - Tcold/Thot
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Coefficient of performance of a fridge
Kc = Tcold/(Thot - Tcold)
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## Other cards in this set

### Card 2

ΔL/L = αT

#### Back

Linear expansion of solids

ΔV/V = βT

### Card 4

#### Front

dQ/dt = -kA (T1 - T2)/Δx

### Card 5

#### Front

dQ/dt = 2πkL (T1-T2)/ln(r1-r2)